A particle moves with a velocity of (4 hat i -2 hat j +2 hat k ) m / s under the influence of a constant force vec F =(10 hat i +3 hat j -2 hat k ) N. The instantaneous power applied to the particle is W.

Question

A particle moves with a velocity of (4 hat i -2 hat j +2 hat k ) m / s under the influence of a constant force vec F =(10 hat i +3 hat j -2 hat k ) N. The instantaneous power applied to the particle is W. (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

P = vecF ⋅ vec v =(4 hat i -2 hat j +2 hat k )(10 hat i +3 hat j -2 hat k ) =40-6-4 ∴ P =30 W

Q. A particle moves with a velocity of $(4 \hat{i} - 2 \hat{j} + 2 \hat{k}) m / s$ under the influence of a constant force $F = (10 \hat{i} + 3 \hat{j} - 2 \hat{k}) N$ . The instantaneous power applied to the particle is___________ $W$ .

$P = F \cdot v$
$= (4 \hat{i} - 2 \hat{j} + 2 \hat{k}) (10 \hat{i} + 3 \hat{j} - 2 \hat{k})$
$= 40 - 6 - 4$
$∴ P = 30 W$

Q. A particle moves with a velocity of (4i^−2j^​+2k^)m/s under the influence of a constant force F=(10i^+3j^​−2k^)N. The instantaneous power applied to the particle is___________ W.

P=F⋅v =(4i^−2j^​+2k^)(10i^+3j^​−2k^) =40−6−4 ∴P=30W

Q. A particle moves with a velocity of $(4 \hat{i} - 2 \hat{j} + 2 \hat{k}) m / s$ under the influence of a constant force $F = (10 \hat{i} + 3 \hat{j} - 2 \hat{k}) N$ . The instantaneous power applied to the particle is___________ $W$ .

$P = F \cdot v$
$= (4 \hat{i} - 2 \hat{j} + 2 \hat{k}) (10 \hat{i} + 3 \hat{j} - 2 \hat{k})$
$= 40 - 6 - 4$
$∴ P = 30 W$